1138593135744 has 96 divisors (see below), whose sum is σ = 3282478378140. Its totient is φ = 378829301760.

The previous prime is 1138593135727. The next prime is 1138593135811. The reversal of 1138593135744 is 4475313958311.

1138593135744 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 59 + 3 + 13 + 574 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1025131950144 + 113461185600 = 1012488^2 + 336840^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290227 + ... + 1536690.

Almost surely, 2^{1138593135744} is an apocalyptic number.

It is an amenable number.

1138593135744 is an abundant number, since it is smaller than the sum of its proper divisors (2143885242396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1138593135744 is a wasteful number, since it uses less digits than its factorization.

1138593135744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827478 (or 1827463 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 1138593135744 in words is "one trillion, one hundred thirty-eight billion, five hundred ninety-three million, one hundred thirty-five thousand, seven hundred forty-four".